TY  - JOUR
A1  - Sandev, Trifce
A1  - Domazetoski, Viktor
A1  - Kocarev, Ljupco
A1  - Metzler, Ralf
A1  - Chechkin, Aleksei
T1  - Heterogeneous diffusion with stochastic resetting
JF  - Journal of physics : A, Mathematical and theoretical
N2  - We study a heterogeneous diffusion process (HDP) with position-dependent diffusion coefficient and Poissonian stochastic resetting. 

We find exact results for the mean squared displacement and the probability density function. The nonequilibrium steady state reached in the long time limit is studied. 
We also analyse the transition to the non-equilibrium steady state by finding the large deviation function. 

We found that similarly to the case of the normal diffusion process where the diffusion length grows like t (1/2) while the length scale xi(t) of the inner core region of the nonequilibrium steady state grows linearly with time t, in the HDP with diffusion length increasing like t ( p/2) the length scale xi(t) grows like t ( p ). 

The obtained results are verified by numerical solutions of the corresponding Langevin equation.
KW  - heterogeneous diffusion
KW  - Fokker-Planck equation
KW  - Langevin equation
KW  - stochastic resetting
KW  - nonequilibrium stationary state
KW  - large deviation function
Y1  - 2022
U6  - https://doi.org/10.1088/1751-8121/ac491c
SN  - 1751-8113
SN  - 1751-8121
VL  - 55
IS  - 7
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -